Statistics 110 - Lecture Materials

• Introductory Material (June 26)
• Outcomes/Events and Counting Rules (June 27)
• Probability Measures (June 28)
• Joint, marginal, and conditional probability (June 30)
• Dependent and independent events (July 3)
• Random variables (July 5)
• Continuous random variables and expected values and moments (July 6)
• Common discrete distributions (July 7 and 10)
• Common continuous distributions (July 10, 11, and 12)
• Transformations of random variables (July 12 and 13)
• Joint distributions of discrete random variables (July 13 and 14)
• Joint distributions of continuous random variables (July 17 and 18)
• Transformations involving joint distribuitons (July 18 and 19)
• Extrema and order statistics (July 21)
• Covariance and Correlation (July 24)
• Conditional Expectation and Prediction (July 25 and 26)
• Moments generating functions (July 26 and 27) (Modified Wednesday, July 26th)
• Distributions related to the normal (July 28 and 31)
• Moment and probability inequalities (July 31)
• Limit theorems (Aug 1 and 2)
• Approximating distributions (Aug 3)
• Convergence in distribution and the Central Limit Theorem (Aug 4 and 7)
• Markov chains (Aug 7, 8, and 9)
• Monte Carlo (Aug 9, 10, 11)
• Review material: Slide form - Printer form

The following sections will not be covered in lecture, but if you are interested in sampling theory (Chapter 7), here are slides discussing the topic.

• Simple Random Sampling, Confidence Intervals. Law school data.
• Ratio estimation. Population data.
• Stratified sampling.

Department of Statistics Harvard University

Copyright 2006 by Mark E. Irwin